Abstract

The Large Hadron Collider provides us new opportunities to search for the origin of neutrino mass. Beyond the minimal see-saw models a plethora of models exist which realise neutrino mass at tree- or loop-level, and it is important to be sure that these possibilities are satisfactorily covered by searches. The purpose of this paper is to advance a systematic approach to this problem. Majorana neutrino mass models can be organised by SM-gauge-invariant operators which violate lepton number by two units. In this paper we write down the minimal ultraviolet completions for all of the mass-dimension 7 operators. We predict vector-like quarks, vector-like leptons, scalar leptoquarks, a charged scalar, and a scalar doublet, whose properties are constrained by neutrino oscillation data. A detailed collider study is presented for O3=LLQdˉHO_3=LLQ\bar dH and O8=Ldˉeˉ†uˉ†HO_8 = L\bar d\bar e^\dagger \bar u^\dagger H completions with a vector-like quark χ∼(3,2,−56)χ\sim(3, 2, -\frac{5}{6}) and a leptoquark ϕ∼(3ˉ,1,13)ϕ\sim(\bar 3,1,\frac{1}{3}). The existing LHC limits extracted from searches for vector-like fermions and sbottoms/stops are mχ≳620m_χ\gtrsim 620 GeV and mϕ≳600m_ϕ\gtrsim 600 GeV.

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